A paper company manufactures cardboard boxes. The company wishes to investigate the effects of four production methodson the number of defective boxes produced in an hour. The company randomly selects three machine operators and trainseach operator thoroughly to use all four production methods. Then each operator will produce boxes for one hour using eachof the four production methods. Test the null hypothesis that the population mean number of defective boxes is the same forthe four production methods. Use the output below to answer the following questions. Use a significance level of 0.05 toconduct all hypothesis tests and construct confidence intervals.Analysis of VarianceSum ofSourceDFSquares Mean SquareF Ratio Prob >FМЕТHOD3 112.6666737.5556 79.5294 <.0001*OPERATOR15.166677.583316.0588 0.0039*Error2.833330.4722C. Total11130.66667What is the within-treatment variability?130.6666737.55562.83333112.66667O 79.5294

Within treatment variability: Within treatment variability is treated as error sum of squares.

Answered: A paper company manufactures cardboard…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A university wanted to see whether there was a significant difference in age between its day staff and evening staff. A random sample of 35 staff members is selected from each group. The data are given below. Test the hypothesis that there is no difference in age between the two groups. Use a =0.05. Day Staff 22 24 24 23 19 19 23 22 18 21 21 18 18 25 29 24 23 22 22 21 20 20 20 27 17 19 18 21 20 23 26 30 25 21 25 Evening Staff 18 23 25 23 21 21 23 24 27 31 24 20 20 23 19 25 24 27 23 20 20 21 25 24 23 28 20 19 23 24 20 27 21 29 30
Number of Flights Arriving on Time Number of Flights Arriving Late Sunshine Airline 33 5 Comfort Airlines 43 6 The table above contains data from a study of two airlines - Sunshine Airlines & Comfort Airlines - which fly from BWI to Shore City, FL. If one flight is selected, find P (on time and Comfort Airlines).
(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…
C. Test statistics D. Make a decision
University officials hope that changes they have made have improved the retention rate. Last year, a sample of 2019 freshmen showed that 1555 returned as sophomores. This year, 1661 of 2096 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.10 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision.
A new vaccination is being used in a laboratory-experiment to investigate whether it is effective. There are 258 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 55 62 117 Not Vaccinated 70 71 141 Total 125 133 258 Copy Data Step 6 of 8: Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.
Let p1 be the proportion of residents in Country A coping with depression, and let p2 be the proportion of residents in Country B coping with depression. What is the null hypothesis for a test to determine whether Country A has a greater proportion of residents coping with depression than Country B? Select the correct answer below: H0: p1−p2>0 H0: p1−p2<0 H0: p1−p2=0 H0: p1−p2≠0
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value
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